Singh,
A.
,
Mourelatos,
Z. P.
, and
Li,
J.
, 2010, “
Design for Lifecycle Cost Using Time-Dependent Reliability,” ASME J. Mech. Des.,
132(9), p. 091008.

[CrossRef]
Andrieu-Renaud,
C.
,
Sudret,
B.
, and
Lemaire,
M.
, 2004, “
The PHI2 Method: A Way to Compute Time-Variant Reliability,” Reliab. Eng. Saf. Syst.,
84(1), pp. 75–86.

[CrossRef]
Rice,
S. O.
, 1944, “
Mathematical Analysis of Random Noise,” Bell. Syst. Tech. J.,
23(3), pp. 282–332. [Republished in: Wax, N., ed., 1954,

*Selected Papers on Noise and Stochastic Processes*, Dover, New York.]

[CrossRef]
Zhang,
J.
, and
Du,
X.
, 2011, “
Time-Dependent Reliability Analysis for Function Generator Mechanisms,” ASME J. Mech. Des.,
133(3), p. 031005.

[CrossRef]
Singh,
A.
, and
Mourelatos,
Z. P.
, 2010, “
On the Time-Dependent Reliability of Non-Monotonic, Non-Repairable Systems,” SAE Paper No. 2010-01-0696.

Hu,
Z.
, and
Du,
X.
, 2012, “
Time-Dependent Reliability Analysis by a Sampling Approach to Extreme Values of Stochastic Processes,” ASME Paper No. DETC2012-70132.

Hu,
Z.
,
Li,
H.
,
Du,
X.
, and
Chandrashekhara,
K.
, 2012, “
Simulation-Based Time-Dependent Reliability Analysis for Composite Hydrokinetic Turbine Blades,” Struct. Multidiscip. Optim.,
47(5), pp. 765–781.

[CrossRef]
Li,
J.
, and
Mourelatos,
Z. P.
, 2009, “
Time-Dependent Reliability Estimation for Dynamic Problems Using a Niching Genetic Algorithm,” ASME J. Mech. Des.,
131(7), p. 071009.

[CrossRef]
Singh,
A.
, and
Mourelatos,
Z. P.
, 2010, “
Time-Dependent Reliability Estimation for Dynamic Systems Using a Random Process Approach,” SAE Paper No. 2010-01-0644.

Singh,
A.
,
Mourelatos,
Z. P.
, and
Nikolaidis,
E.
, 2011, “
Time-Dependent Reliability of Random Dynamic Systems Using Time-Series Modeling and Importance Sampling,” SAE Paper No. 2011-01-0728.

Au,
S. K.
, and
Beck,
J. L.
, 2003, “
Subset Simulation and Its Application to Seismic Risk Based on Dynamic Analysis,” J. Eng. Mech.,
129(8), pp. 901–917.

[CrossRef]
Beck,
J. L.
, and
Au,
S. K.
, 2002, “
Bayesian Updating of Structural Models and Reliability Using Markov Chain Monte Carlo Simulation,” J. Eng. Mech.,
128(4), pp. 380–391.

[CrossRef]
Ching,
J.
,
Beck,
J. L.
, and
Au,
S. K.
, 2005, “
Reliability Estimation for Dynamic Systems Subject to Stochastic Excitation Using Subset Simulation With Splitting,” Comput. Methods Appl. Mech. Eng.,
194(12–16), pp. 1557–1579.

[CrossRef]
Wang,
Z.
,
Mourelatos,
Z. P.
,
Li,
J.
,
Singh,
A.
, and
Baseski,
I.
, 2013, “
Time-Dependent Reliability of Dynamic Systems Using Subset Simulation With Splitting Over a Series of Correlated Time Intervals,” ASME Paper No. DETC2013-12257.

Cressie,
N.
, 1993, Statistics for Spatial Data,
Wiley,
New York.

Sacks,
J.
,
Welch,
W. J.
,
Mitchell,
J. J.
, and
Wynn,
H. P.
, 1989, “
Design and Analysis of Computer Experiments,” Stat. Sci.,
4(4), pp. 409–435.

[CrossRef]
Lophaven,
S. N.
,
Nielsen,
H. B.
, and
Sondergaard,
J.
, 2002, “
DACE: A MATLAB Kriging ToolBox, Version 2, Informatics and Mathematical Modeling,” Technical University of Denmark, Technical Report No. IMM-TR-2002-12.

Wang,
G. G.
, and
Shan,
S.
, 2007, “
Review of Metamodeling Techniques in Support of Engineering Design Optimization,” ASME J. Mech. Des.,
129(4), pp. 370–380.

[CrossRef]
Simpson,
T. W.
,
Peplinski,
J. D.
,
Koch,
P. N.
, and
Allen,
J. K.
, 2001, “
Metamodels for Computer-Based Engineering Design: Survey and Recommendations,” Eng. Comput.,
17(2), pp. 129–150.

[CrossRef]
Simpson,
T. W.
,
Lin,
D. K. J.
, and
Chen,
W.
, 2001, “
Sampling Strategies for Computer Experiments: Design and Analysis,” Int. J. Reliab. Appl.,
2(3), pp. 209–240.

Pacheco,
J. E.
,
Amon,
C. H.
, and
Finger,
S.
, 2003, “
Bayesian Surrogates Applied to Conceptual Stages of the Engineering Design Process,” ASME J. Mech. Des.,
125(4), pp. 664–672.

[CrossRef]
Weiss,
L. E.
,
Amon,
C. H.
,
Finger,
S.
,
Miller,
E. D.
,
Romero,
D.
,
Verdinelli,
I.
,
Walker,
L. M.
, and
Campbell,
P. G.
, 2005, “
Bayesian Computer-Aided Experimental Design of Heterogeneous Scaffolds for Tissue Engineering,” Comput.-Aided Des.,
37(11), pp. 1127–1139.

[CrossRef]
Romero,
D. A.
,
Amon,
C. H.
, and
Finger,
S.
, 2006, “
On Adaptive Sampling for Single and Multi-Response Bayesian Surrogate Models,” ASME Paper No. DETC2006-99210.

Romero,
D. A.
,
Amon,
C. H.
,
Finger,
S.
, and
Verdinelli,
I.
, 2004, “
Multi-Stage Bayesian Surrogates for the Design of Time-Dependent Systems,” ASME Paper No. DETC2004-57510.

Wehrwein,
D.
, and
Mourelatos,
Z. P.
, 2009, “
Optimization of Engine Torque Management Under Uncertainty for Vehicle Driveline Clunk Using Time-Dependent Metamodels,” ASME J. Mech. Des.,
131(5), p. 051001.

[CrossRef]
Missoum,
S.
, 2008, “
Probabilistic Optimal Design in the Presence of Random Fields,” Struct. Multidiscip. Optim.,
35(6), pp. 523–530.

[CrossRef]
Ghanem,
R.
, and
Spanos,
P. D.
, 1991, Stochastic Finite Elements: A Spectral Approach,
Springer,
New York.

Aha,
D. W.
, 1997, “
Editorial, Special Issue on Lazy Learning,” Artif. Intell. Rev.,
11(1–5), pp. 1–6.

Atkeson,
C. G.
,
Moore,
A. W.
, and
Schaal,
S.
, 1997, “
Locally Weighted Learning,” Artif. Intell. Rev.,
11(1–5), pp. 11–73.

[CrossRef]
Birattari,
M.
,
Bontempi,
G.
, and
Bersini,
H.
, 1999, “
Lazy Learning Meets the Recursive Least-Squares Algorithm,” Advances in Neural Information Processing Systems 11,
M. S. Kearns
,
S. A. Solla
, and
D. A. Cohn
, eds.,
MIT Press,
Cambridge, MA, pp. 375–381.

Singh,
A.
,
Mourelatos,
Z. P.
, and
Li,
J.
, 2009, “
Design for Lifecycle Cost Using Time-Dependent Reliability,” ASME Paper No. DETC2009-86587.

Bayarri,
M. J.
,
Walsh,
D.
,
Berger,
J. O.
,
Cafeo,
J.
,
Garcia-Donato,
G.
,
Liu,
F.
,
Palomo,
J.
,
Parthasarathy,
R. J.
,
Paulo,
R.
, and
Sacks,
J.
, 2007, “
Computer Model Validation With Functional Output,” Ann. Stat.,
35(5), pp. 1874–1906.

[CrossRef]
Higdon,
D.
,
Gattiker,
J.
,
Williams,
B.
, and
Rightley,
M.
, 2008, “
Computer Model Calibration Using High-Dimensional Outputs,” J. Am. Stat. Assoc.,
103(482), pp. 570–583.

[CrossRef]
Currin,
C.
,
Mitchell,
T.
,
Morris,
M.
, and
Ylvisaker,
D.
, 1991, “
Bayesian Prediction of Deterministic Functions, With Applications to the Design and Analysis of Computer Experiments,” J. Am. Stat. Assoc.,
86(416), pp. 953–963.

[CrossRef]
Santner,
T. J.
,
Williams,
B. J.
, and
Notz,
W. I.
, 2003, The Design and Analysis of Computer Experiments,
Springer,
New York.

Rizzo,
M. L.
, 2007, Statistical Computing With R,
Chapman and Hall,
Boca Raton, FL.

Dalbey,
K.
, and
Swiler,
L.
, 2014, “
Gaussian Process Adaptive Importance Sampling,” Int. J. Uncertainty Quantif.,
4(2), pp. 133–149.

[CrossRef]
Kennedy,
M. C.
, and
O'Hagan,
A.
, 2001, “
Bayesian Calibration of Computer Models,” J. R. Stat. Soc.: Ser. B (Stat. Methodol.),
63(3), pp. 425–464.

[CrossRef]
Viana,
F. A. C.
,
Simpson,
T. W.
,
Balabanov,
V.
, and
Toropov,
V.
, 2014, “
Metamodeling in Multidisciplinary Design Optimization: How Far Have We Really Come?,” AIAA J.,
52(4), pp. 670–690.

[CrossRef]